Quantum signature mechanism with GHZ states

On Internet, the sender and receiver can not own the secure communication channel. Eavesdropping can attack the insecure channel to break the process of the signature scheme. Under an unsafe routing path, several attacks from Eve will be happened. In quantum cryptography, these physics properties such as no-cloning theorem, uncertainty principle and quantum teleportation can provide unconditionally secure communication in the quantum channel. The security of quantum signature schemes is unconditional security. In this paper, a concept, quantum secret sharing which can be used to reconstruct a special relation among sharing party, is proposed. Based on the property of quantum secret sharing, the proposed mechanism uses multiple pairs of four-particle Greenberger-Horne-Zielinger (GHZ) state to reconstruct a special relation among sharing party. By using this relation, we can support the security of quantum signature under an unsafe routing path to provide the message recovery. From the view of a reusing key, the proposed mechanism is key efficiency.